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Finding the Third Proportional to 207,364 and 309,618

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Solution

The third proportional to 207,364 and 309,618 is: 462,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364 : 309,618 = 309,618 : x
  2. Step 2: Convert to fraction form
    207,364/309,618 = 309,618/x
  3. Step 3: Cross multiply
    207,364x = 309,618 × 309,618
  4. Step 4: Simplify right side
    207,364x = 95,863,305,924
  5. Step 5: Solve for x
    x = 95,863,305,924/207,364
  6. Step 6: Final answer
    x = 462,294.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.